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Finding the Fourth Proportional to 2,505.15, 3,460.41 and 1,922.88

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Solution

The fourth proportional to 2,505.15, 3,460.41 and 1,922.88 is: 2,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.15 : 3,460.41 = 1,922.88 : x
  2. Step 2: Convert to fraction form
    2,505.15/3,460.41 = 1,922.88/x
  3. Step 3: Cross multiply
    2,505.15x = 3,460.41 × 1,922.88
  4. Step 4: Simplify right side
    2,505.15x = 6,653,953.18
  5. Step 5: Solve for x
    x = 6,653,953.18/2,505.15
  6. Step 6: Final answer
    x = 2,656.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.